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Finding the Third Proportional to 387,096 and 850,656

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Solution

The third proportional to 387,096 and 850,656 is: 1,869,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,096 : 850,656 = 850,656 : x
  2. Step 2: Convert to fraction form
    387,096/850,656 = 850,656/x
  3. Step 3: Cross multiply
    387,096x = 850,656 × 850,656
  4. Step 4: Simplify right side
    387,096x = 723,615,630,336
  5. Step 5: Solve for x
    x = 723,615,630,336/387,096
  6. Step 6: Final answer
    x = 1,869,344.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.